Arrangement of the 613 Mitzvot

611 Mitzvot were given by G-d through Moshe.  The first 2 Mitzvot were given directly by G-d at Har Sinai.  The Taryag Mitzvot (613 Commandments) are Scriptural and Divine in origin.  For the religious Jew the Torah is the summit of perfection, both in its totality and in its individual parts.  If one encounters difficulties, it is precisely for that reason that we pray three times daily in the Amidah, "O my G-d, open my heart to Your Torah, and let my soul pursue Your Mitzvot."

A mitzvah cannot be fulfilled if in the process one transgresses another mitzvah. 

Maimonides (RaMBaM), in his Sefer HaMitzvot, can be said to have arranged the 613 Mitzvot in groups; the Positive Mitzvot into ten groups and the Negative Mitzvot into ten groups. These groups are:

Positive Mitzvot

Mitzvah 1-19............Belief in G-d and our duties towards Him.
Mitzvah 20-95.........The Sanctuary, Priesthood and Sacrifices.
Mitzvah 96-113.......The Sources of Uncleanness and the modes of purification.
Mitzvah 114-152.....Gifts to the Temple, the poor, the Kohanim and Leviim; the Sabbatical Year and the Jubilee; the preparation of food.
Mitzvah 153-171.....The Holy Days and the observances connected with them.
Mitzvah 172-193.....The proper functioning of the Jewish State.
Mitzvah 194-209.....Our duties towards our fellow men.
Mitzvah 210-223.....The duties attaching to family life.
Mitzvah 224-231.....The enforcement of the criminal law.
Mitzvah 232-248.....The laws relating to property, real and personal.

Negative Mitzvot

Mitzvah 1-59............Idolatry and related subjects.
Mitzvah 60-88..........Our duties to G-d, the Sanctuary, and the services therein.
Mitzvah 89-171........Sacrifices, Priestly gifts, Kohanim, Leviim, and related subjects.
Mitzvah 172-209......Prohibitions affecting food.
Mitzvah 210-228......Cultivation of the land.
Mitzvah 229-270......Our duties towards our fellow men, towards the poor and towards employees.
Mitzvah 271-319......The administration of justice, the authority of the Courts, and similar matters.
Mitzvah 320-329......The Shabbat and Festivals.
Mitzvah 330-361......The forbidden degrees of marriage and related subjects.
Mitzvah 362-365......The head of the Jewish State and its officers.